Shortest Addition Chains
Alec Mihailovs
alec at mihailovs.com
Thu Dec 14 13:28:44 CET 2006
From: "Alec Mihailovs" <alec at mihailovs.com>
>
> The shortest chain has length 18. Here it is:
>
> 1+1=2, 2+1=3, 3+3=6, 6+6=12, 12+12=24, 24+3=27, 27+27=54,
> 54+54=108, 108+108=216, 216+1=217, 217+217=434,
> 434+434=868, 868+868=1736, 1736+1736=3472,
> 3472+3472=6944, 6944+6944=13888, 13888+3=13891,
> 13891+13891=27782
Sorry, I didn't see Max A. earlier replies when I sent that.
Max A.> 1, 2, 3, 6, 12, 24, 48, 96, 192, 384, 386, 772, 1544,
Max A.> 3088, 3472, 6944, 13888, 13891, 27782
The chain is different though. Still contains 3 (a few times).
Alec
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